### Home > CCG > Chapter 7 > Lesson 7.3.3 > Problem 7-143

7-143.

Examine the arrow diagram below.

Polygon is a parallelogram** →** area of the polygon equals base times height.

Use an if…then statement.

Write this conjecture as a conditional (“If, then”) statement.

If a polygon is a parallelogram, then its area equals its base times its height.

Write the converse of this conditional statement. Is the converse statement a true statement?

If the area of a polygon is the base times its height, then the polygon is a parallelogram.

Write a similar conjecture about triangles. Write it once as a conditional statement and once as an arrow diagram.

Write the converse of your triangle conjecture from part (c). Is the converse statement true?